A364567 a(n) = A297112(A005940(1+n)), where A297112 is the Möbius transform of A156552 [the inverse of map n -> A005940(1+n)].

0, 1, 2, 2, 4, 2, 4, 4, 8, 4, 4, 4, 8, 4, 8, 8, 16, 8, 8, 8, 8, 4, 8, 8, 16, 8, 8, 8, 16, 8, 16, 16, 32, 16, 16, 16, 16, 8, 16, 16, 16, 8, 8, 8, 16, 8, 16, 16, 32, 16, 16, 16, 16, 8, 16, 16, 32, 16, 16, 16, 32, 16, 32, 32, 64, 32, 32, 32, 32, 16, 32, 32, 32, 16, 16, 16, 32, 16, 32, 32, 32, 16, 16, 16, 16, 8, 16, 16

Offset: 0

Author

Antti Karttunen, Aug 05 2023

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16383
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A005940, A033265, A156552, A297112, A364568.

Cf. also A364571.

Programs

PARI

A364567(n) = if(!n,n, my(i=1); while(n>1, if((n%4)!=1, i<<=1); n >>= 1); (i));

Formula

For n > 0, a(n) = 2^A033265(n).